What is the asymptotes of f(x)=(6x^2+7x)/(4x+2) ?

The asymptotes of f(x)=(6x^2+7x)/(4x+2) is Vertical: x=-1/2 ,Slant: y= 3/2 x+1

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asymptotes of f(x)=(6x^2+7x)/(4x+2)

asymptotes

f (x) = \frac{6 x ^{2} + 7 x}{4 x + 2}

Vertical : x = - \frac{1}{2}, Slant : y = \frac{3}{2} x + 1

Solution steps

Vertical asymptotes of

\frac{6 x ^{2} + 7 x}{4 x + 2} : x = - \frac{1}{2}

Horizontal Asymptotes of

\frac{6 x ^{2} + 7 x}{4 x + 2} :

None

Slant Asymptotes of

\frac{6 x ^{2} + 7 x}{4 x + 2} : y = \frac{3}{2} x + 1

Vertical : x = - \frac{1}{2}, Slant : y = \frac{3}{2} x + 1

What is the asymptotes of f(x)=(6x^2+7x)/(4x+2) ?
The asymptotes of f(x)=(6x^2+7x)/(4x+2) is Vertical: x=-1/2 ,Slant: y= 3/2 x+1